More on Games of Survival

Abstract

Let Omega be the game of survival which is the repetition (until the bankruptcy of one of the players) of a normalized finite zero-sum two-person game, Gamma = (Gamma (sub ij)), where each Gamma(sub ij) is a non-zero integer. It is shown that Omega is inessential and has some easily described optimal strategies. It is also shown that if max(sub i, j) |Gamma(sub ij)| is small enough compared to the combined fortunes, then playing at the n-th play a delta(n)-optimal strategy for Gamma is a Sigma-optimal strategy for Omega, if delta is sufficiently small.

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Document Details

Document Type
Technical Report
Publication Date
Jun 20, 1952
Accession Number
ADA596151

Entities

People

  • M. P. Peisakoff

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Bankruptcy
  • Corporations
  • Information Operations
  • Money
  • Probability
  • Random Variables
  • Survival

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Game Theory.